In this Grade 7 Saxon Math Course 2 lesson, students learn to solve word problems about equal groups using the formula n × g = t (number of groups times number in each group equals total). They practice applying a four-step problem-solving method to find either an unknown total by multiplying or an unknown factor by dividing, using real-world contexts like counting marbles, ticket sales, and cars on trucks.
Section 1
📘 Problems About Equal Groups
We solve word problems that have a multiplication thought pattern. This is the equal groups formula:
Next, you'll see worked examples that break down how to find the total, the number of groups, or the amount in each group.
Section 2
Equal groups formula
The formula for problems about equal groups is: number of groups number in each group = total. This can be written as the equation .
If 32 boxes each hold 25 marbles, the total is marbles.
If 75 cases each contain 12 beach balls, the total is beach balls.
When you have many groups of the same size, you can multiply to find the total. This is a powerful shortcut for figuring out large amounts, like calculating the total items in multiple identical packages.
Section 3
Finding the number of groups
To find the number of groups when you know the total and the amount in each group, you divide. The formula is .
If 960 dollars in tickets were sold at 8 dollars each, there were tickets sold.
If 500 books arrived in shipments of 25, there were shipments.
If you know the grand total and the size of each set, just divide! This tells you exactly how many sets you can make from the total amount, like finding out how many teams can be formed.
Section 4
Finding the number in each group
To find the amount in each group, divide the total by the number of groups. The formula is .
If 40 trucks deliver 600 cars, each truck carried cars.
If 1225 push-ups are done in 7 days, that is push-ups per day.
Need to share something equally? If you know the total amount and the number of groups, division tells you the exact size for each individual share. This is perfect for splitting costs or items among friends.
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Section 1
📘 Problems About Equal Groups
We solve word problems that have a multiplication thought pattern. This is the equal groups formula:
Next, you'll see worked examples that break down how to find the total, the number of groups, or the amount in each group.
Section 2
Equal groups formula
The formula for problems about equal groups is: number of groups number in each group = total. This can be written as the equation .
If 32 boxes each hold 25 marbles, the total is marbles.
If 75 cases each contain 12 beach balls, the total is beach balls.
When you have many groups of the same size, you can multiply to find the total. This is a powerful shortcut for figuring out large amounts, like calculating the total items in multiple identical packages.
Section 3
Finding the number of groups
To find the number of groups when you know the total and the amount in each group, you divide. The formula is .
If 960 dollars in tickets were sold at 8 dollars each, there were tickets sold.
If 500 books arrived in shipments of 25, there were shipments.
If you know the grand total and the size of each set, just divide! This tells you exactly how many sets you can make from the total amount, like finding out how many teams can be formed.
Section 4
Finding the number in each group
To find the amount in each group, divide the total by the number of groups. The formula is .
If 40 trucks deliver 600 cars, each truck carried cars.
If 1225 push-ups are done in 7 days, that is push-ups per day.
Need to share something equally? If you know the total amount and the number of groups, division tells you the exact size for each individual share. This is perfect for splitting costs or items among friends.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter